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Finding the Fourth Proportional to 5,693.20, 8,539.80 and 3,068.80

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Solution

The fourth proportional to 5,693.20, 8,539.80 and 3,068.80 is: 4,603.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.20 : 8,539.80 = 3,068.80 : x
  2. Step 2: Convert to fraction form
    5,693.20/8,539.80 = 3,068.80/x
  3. Step 3: Cross multiply
    5,693.20x = 8,539.80 × 3,068.80
  4. Step 4: Simplify right side
    5,693.20x = 26,206,938.24
  5. Step 5: Solve for x
    x = 26,206,938.24/5,693.20
  6. Step 6: Final answer
    x = 4,603.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.